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My name is Ann [436]
3 years ago
15

When sample size increases:____.

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

When sample size increases:

The standard deviation of the sample mean is:

s = \frac{\sigma}{\sqrt{n}}

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

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2 years ago
Y=9x+4 is translated 4 units , what would be the equation on a graph?
denis-greek [22]
I noticed that this equation is in slope-intercept form (y = mx + b). M =  the slope of the line, B = the y-intercept.

If the line is translated (fancy, fancy, talk for MOVED) up. The Y-intercept would change positive (because it is moved up) by four.

4 + 4 equals...well, 8.

Hope I could help you out! If my answer is incorrect, or I provided an answer you were not looking for, please let me know.
However, if my answer is explained well and correct, please consider marking my answer as Brainliest!  :)

Have a good one.

God bless!
6 0
3 years ago
6=n-4<br> Ushdhsbdusvdj
kaheart [24]

Answer:

n=10

Step-by-step explanation:

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Read 2 more answers
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